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Finding the Fourth Proportional to 311.93, 430.31 and 212.32

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Solution

The fourth proportional to 311.93, 430.31 and 212.32 is: 292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.93 : 430.31 = 212.32 : x
  2. Step 2: Convert to fraction form
    311.93/430.31 = 212.32/x
  3. Step 3: Cross multiply
    311.93x = 430.31 × 212.32
  4. Step 4: Simplify right side
    311.93x = 91,363.82
  5. Step 5: Solve for x
    x = 91,363.82/311.93
  6. Step 6: Final answer
    x = 292.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.